Answer:
the answer is b. tangent
Step-by-step explanation:
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.
On which triangle can we apply trigonometric ratios?The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
The tangent of the angle is
[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
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what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?
Answer:
2/5*180=72
360/72=5
as simple as that you just need to read on polygons
Step-by-step explanation:
pls give me brainlyist
if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum
Answer:
48.048
Step-by-step explanation:
multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you
Which complex number has a distance of the square root of 17 from the origin on the complex plane?
Hey there! I'm happy to help! :D
-------------------------------------------------------------------
OVERVIEW
A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).
The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.
For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.
-------------------------------------------------------------------
MODULI
The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!
STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER
STEP 1: PLOT THE COMPLEX NUMBER
Let's use our complex number 4+3i. If we plot it, the point will be (4,3)
STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM
4²=16
3²=9
STEP 3: ADD THESE SQUARES
16+9=25
STEP 4: SQUARE ROOT IT
√25=5
Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.
-------------------------------------------------------------------
SOLVING THE PROBLEM
In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.
STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS
STEP 1: SQUARE THE MODULUS
√17²=17
STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER
Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17? Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.
Let's see what squares exist that are less than seventeen.
1, 4, 9, 16
(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)
Which of these can we add to get 17?
Well, we can do 1 and 16, so this is our result so far.
STEP 3: SQUARE ROOT THE RESULTS
Now, we just find the square roots of what we found in the last problem!
√1=1
√16=4
STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER
We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!
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SOLUTION
Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.
4+i
-4+i
4-i
-4-i
1+4i
-1+4i
1-4i
-1-4i
You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!
I hope that this helps! Have a wonderful day! :)
find the center and radius of the circle x2+(y+8)2=4
Answer: Center (0, -8) and Radius = 2
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
15 POINTS. AND I WILL MARK BRAINLIEST!!!!
what is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?
Answer: 72 degrees
Step-by-step explanation:
Please answer as soon as you see this it’s urgent
Answer:
m∠DEH= 128.6°
Step-by-step explanation:
∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.
This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.
Answer:
128.6
Step-by-step explanation:
GHJ= DEH
adjasent angle
Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
Option B. is correct
Polynomial equation are equation of number independent variables having relationship with dependent variable.
Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.
for example [tex]\sqrt[3]{x^3}[/tex] = x
Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
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Answer:
option B
Step-by-step explanation:
edge 2023
Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?
There are no options to choose from
Answer:
r: radius of balloon
V = (4/3)*pi*r^3 = 288000
=> r^3 = 288000*(3/4)/pi
=> r^3 = 68754.94
=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm
What is the equation of a line passing through 1,2 and -2,5
Answer:
y=-1x+3
Step-by-step explanation:
2-5/1+2
-3/3
-1
y=-1x+b
2=-1+b
b=3
y=-1x+3
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
Solve algebraically
x-4y=-10
x+y=5
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3
Answer:
a.20
Step-by-step explanation:
20 is standing out from the rest of the numbers
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast, to $3 in the mid-US, to $5 on the west coast. B On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price?
Answer:
A) The amount of gas they bought on each coast;
East Coast = 35 gallons
Mid-US = 100 gallons
West Coast = 15 gallons
B) The amount of gas they bought on each coast on the return journey;
East Coast = 37 gallons
Mid-US = 116 gallons
West Coast = 21 gallons
Step-by-step explanation:
Complete Question
Maxis taking a cross-country road trip. Gas prices vary as the friends travel across the US from $4 dollars per gallon on the east coast to $3 in the mid-US, to $5 on the west coast.
(a) If they used twice as much gas in the mid-US than on either coast combined, and they spend $515 on gas to purchased 150 gallons of gas, how many gallons of gas did they buy at each price?
The answer to this question is East Coast - 35 gal, Mid-US - 100 gal, West Coast - 15 gal.
(b) On their way back they had more baggage in the car and spend $601 for 174 gallons of gas. Based on the same ratio as in Part (a), how many gallons of gas did they buy at each price? I don't know the answer to this one
Solution
Let the amount of fuel bought on the east coast = x gallons
Let the amount of fuel bought on the mid-coast = y gallons
Let the amount of fuel bought on the west coast = z gallons
a) - They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $515 on gas to purchase 150 gallons of gas.
Total gallons purchased = x + y + z = 150
Total amount spent = 4x + 3y + 5z = 515
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 150
3x + 3z = 150
Divide through by 3
x + z = 50 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 515
4x + 6x + 6z + 5z = 515
10x + 11z = 515 (eqn **)
x + z = 50
10x + 11z = 515
Solving the simultaneous equation,
x = 35 gallons
z = 15 gallons
y = 2x + 2z = 2(35 + 15) = 100 gallons
B) On the return journey, the ratio between x, y and z is still the same, but the total gallons and total amount spent is now different.
They used twice as much gas in the mid-US than on either coast combined
y = 2(x + z) = 2x + 2z (eqn 1)
- They spend $601 on gas to purchase 174 gallons of gas.
Total gallons purchased = x + y + z = 174
Total amount spent = 4x + 3y + 5z = 601
From eqn 1, y = 2x + 2z, inserting this value for y in the 2 other equations
x + y + z = x + 2x + 2z + z = 174
3x + 3z = 174
Divide through by 3
x + z = 58 (eqn *)
4x + 3y + 5z = 4x + 3(2x + 2z) + 5z = 601
4x + 6x + 6z + 5z = 601
10x + 11z = 601 (eqn **)
x + z = 58
10x + 11z = 601
Solving the simultaneous equation,
x = 37 gallons
z = 21 gallons
y = 2x + 2z = 2(37 + 21) = 116 gallons
Hope this Helps!!!
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
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Need help plssssss fast hurry plsss
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer: [tex]150ft^2[/tex]
Step-by-step explanation:
length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]
width: [tex]5 in[/tex]
[tex]Formula: A=w*l[/tex]
[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]
Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.
[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]
[tex]\frac{1}{4}in^2 : 1ft^2[/tex]
Convert.
[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]
Invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]
Please help me now plz I promise I will mark you brainliest
Answer:
C. Outside the circle
I hope this helps
can someone tell me how to do this
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
What is the negative square root of 4,900?
Answer: -70
Step-by-step explanation: hope I helped
Consider the system of equations. 5x + 2y = 6, 10x + 4y = 12 Which equation is equivalent to the first equation of the system and can be used to solve the system using the linear combination method
Step-by-step explanation:
(5x+2y=6)2
10x+4y=12
10x+4y=12 then substract
10x+4y=12
0=0 true so, it have infinite s/n
Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED
Answer:
Engineers use the Pythagorean Theorem to figure out measurements of objects.
please answer this. 20 points
Answer:
figure ii
Step-by-step explanation:
counterclockwise is this way >>>
thus making figure 2 the version of circle A spun counterclockwise
Please help!
What is 5.2¯ expressed as a fraction in simplest form?
275
389
265
479
Answer:
Step-by-step explanation:
389
Answer. 3/89
Step-by-step explanation:
HEY FREN
Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots ? How many points would Anthony score in a game if he made x three point shots and y two point shots?
Answer:
Step-by-step explanation:
x three point shots: 8*3=24
x two point shots: 2*2=4
The point would Anthony score is : 24+4=28
I hope it'll help you much
Thank you for asking
HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?
A.5
B.7
C.9
D.11
Answer:
He sold 7 more small boxes than large boxes
Step-by-step explanation:
Let x be the no of small boxes sold .
Cost of 1 small boxes of oranges = $5
Cost of x small boxes of oranges = 5x
Let y be the no. of large boxes sold
Cost of 1 large boxes of oranges = $9
Cost of y large boxes of oranges = 9y
He sold 17 boxes in all total for 105
So,x+y=17 ---1
So,5x+9y=105 ---2
Substitute the value of x from 1 in 2
5x+9(17-x)=105
5x+153-9x=105
153-105=4x
[tex]\frac{153-105}{4}=x[/tex]
12=x
Substitute value of x in 1
12+y=17
y=17-12
y=5
Difference in no. of boxes = 12-5 = 7
So, He sold 7 more small boxes than large boxes
The area of a square is 16 square units. What is the length of a side?
Answer:
4 is the length of a side.
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
4 units
Step-by-step explanation:
The area of a square is denoted by: A = s², where s is the side length.
Here, we know that the area is 16, so plug this in for A:
A = s²
16 = s²
s = √16 = 4
Thus, the side length is 4 units.
~ an aesthetics lover
Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.
Answer:
15.1
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
23^2 + b^2 = 27.5^2
529 +b^2 =756.25
Subtract 529 from each side
529-529+b^2 =756.25-529
b^2 =227.25
Take the square root of each side
b =sqrt(227.25)
b =15.07481343
To the nearest tenth
b = 15.1
Answer:
15.1
Step-by-step explanation:
FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is (5 x 3 ) + 10
Answer:
25
Step-by-step explanation:
5 x3 is 15 and then add 10. im sure u know that but yea
6x2+40=31x factorise the quadratic equation
Answer:
Step-by-step explanation:
6x² + 40 = 31x
6x² - 31x + 40 = 0
6x² - 16x - 15x + (-5)*(-8) = 0
2x(3x - 8) - 5(3x -8) = 0
(3x - 8) (2x - 5) = 0
